Search a number
-
+
13112021013 = 371348029381
BaseRepresentation
bin11000011011000100…
…11001000000010101
31020211210120200101220
430031202121000111
5203323134133023
610005032040553
7642633224340
oct141542310025
936753520356
1013112021013
115619437503
12265b233159
13130c663c20
148c55a9457
1551b1cd3e3
hex30d899015

13112021013 has 16 divisors (see below), whose sum is σ = 21517163136. Its totient is φ = 6916230720.

The previous prime is 13112020993. The next prime is 13112021029. The reversal of 13112021013 is 31012021131.

It is a happy number.

It is not a de Polignac number, because 13112021013 - 210 = 13112019989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13112020983 and 13112021001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112021513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24014418 + ... + 24014963.

It is an arithmetic number, because the mean of its divisors is an integer number (1344822696).

Almost surely, 213112021013 is an apocalyptic number.

13112021013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13112021013 is a deficient number, since it is larger than the sum of its proper divisors (8405142123).

13112021013 is a wasteful number, since it uses less digits than its factorization.

13112021013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48029404.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13112021013 its reverse (31012021131), we get a palindrome (44124042144).

The spelling of 13112021013 in words is "thirteen billion, one hundred twelve million, twenty-one thousand, thirteen".

Divisors: 1 3 7 13 21 39 91 273 48029381 144088143 336205667 624381953 1008617001 1873145859 4370673671 13112021013